Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632b |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-329894656 = -1 · 28 · 73 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 0 13+ 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,103,811] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:14:1] [3:-34:1] |
Generators of the group modulo torsion |
j |
1362944/3757 |
j-invariant |
L |
6.067738179201 |
L(r)(E,1)/r! |
Ω |
1.2023223390723 |
Real period |
R |
0.3154176079504 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86632m1 |
Quadratic twists by: -7 |